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Simplifying 36 + 3(3x + -2) = 4(5x + 2) Reorder the terms: 36 + 3(-2 + 3x) = 4(5x + 2) 36 + (-2 * 3 + 3x * 3) = 4(5x + 2) 36 + (-6 + 9x) = 4(5x + 2) Combine like terms: 36 + -6 = 30 30 + 9x = 4(5x + 2) Reorder the terms: 30 + 9x = 4(2 + 5x) 30 + 9x = (2 * 4 + 5x * 4) 30 + 9x = (8 + 20x) Solving 30 + 9x = 8 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 30 + 9x + -20x = 8 + 20x + -20x Combine like terms: 9x + -20x = -11x 30 + -11x = 8 + 20x + -20x Combine like terms: 20x + -20x = 0 30 + -11x = 8 + 0 30 + -11x = 8 Add '-30' to each side of the equation. 30 + -30 + -11x = 8 + -30 Combine like terms: 30 + -30 = 0 0 + -11x = 8 + -30 -11x = 8 + -30 Combine like terms: 8 + -30 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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